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Finding the Fourth Proportional to 120,065.97, 180,042.42 and 70,160.49

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Solution

The fourth proportional to 120,065.97, 180,042.42 and 70,160.49 is: 105,207.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,065.97 : 180,042.42 = 70,160.49 : x
  2. Step 2: Convert to fraction form
    120,065.97/180,042.42 = 70,160.49/x
  3. Step 3: Cross multiply
    120,065.97x = 180,042.42 × 70,160.49
  4. Step 4: Simplify right side
    120,065.97x = 12,631,864,407.99
  5. Step 5: Solve for x
    x = 12,631,864,407.99/120,065.97
  6. Step 6: Final answer
    x = 105,207.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.